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Simplifying (a + -2b) + (a + -2b) + (a + -2b) + (a + -2b) = 0 Remove parenthesis around (a + -2b) a + -2b + (a + -2b) + (a + -2b) + (a + -2b) = 0 Remove parenthesis around (a + -2b) a + -2b + a + -2b + (a + -2b) + (a + -2b) = 0 Remove parenthesis around (a + -2b) a + -2b + a + -2b + a + -2b + (a + -2b) = 0 Remove parenthesis around (a + -2b) a + -2b + a + -2b + a + -2b + a + -2b = 0 Reorder the terms: a + a + a + a + -2b + -2b + -2b + -2b = 0 Combine like terms: a + a = 2a 2a + a + a + -2b + -2b + -2b + -2b = 0 Combine like terms: 2a + a = 3a 3a + a + -2b + -2b + -2b + -2b = 0 Combine like terms: 3a + a = 4a 4a + -2b + -2b + -2b + -2b = 0 Combine like terms: -2b + -2b = -4b 4a + -4b + -2b + -2b = 0 Combine like terms: -4b + -2b = -6b 4a + -6b + -2b = 0 Combine like terms: -6b + -2b = -8b 4a + -8b = 0 Solving 4a + -8b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8b' to each side of the equation. 4a + -8b + 8b = 0 + 8b Combine like terms: -8b + 8b = 0 4a + 0 = 0 + 8b 4a = 0 + 8b Remove the zero: 4a = 8b Divide each side by '4'. a = 2b Simplifying a = 2b
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